Sharp estimates of bounded solutions to a second order forced equation with structural damping

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1 LJLL - Laboratoire Jacques-Louis Lions

Abstract : By using differential inequalities, an essentially optimal L∞R,DA bound of the unique bounded solution of u″+cAu′=ƒtis obtained wheneverA=A*≥λI is a bounded or unbounded linear operator on a real Hilbert space H and λ, c are positive constants, while ƒ ∈ L∞R,H.

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